Answers
We have to find the length of FH.
We know that G is on the line, and we know the length FG and GH, so we can represent this as:
We then, we can apply the rule that states that the length of a segment is equal to the length of the segments that are part of it:
[tex]FH=FG+GH=10+5=15[/tex]Answer: FH = 15
Related Questions
In a fruit cocktail, for every 30 ml of orange
juice you need 20 ml of apple juice and 50
ml of coconut milk. What proportion of the
cocktail is apple juice?
Give your answer as a fraction in its
simplest form
Answers
Answer:
1/5
Step-by-step explanation:
If you mix 30 ml of orange juice, 20 ml of apple juice and 50 ml of coconut milk you will get a total of 30 + 20 + 50 = 100 ml of cocktail
The proportion of apple juice in the cocktail is merely the volume of apple juice added to the total volume of cocktail
= 20/100 = 1/5
Lowes carries 3 types of plants. 1/10 of the plants are fruit bearing,
1/2 of the plants are flower bearing, the rest are
vegetable bearing plants. How many are vegetable bearing plants?
This problem is asking me to determine?
Write the equation you will be using to solve.
Answers
The number of vegetable-bearing plants is 12/5.
How to find the number of vegetable-bearing plants?Lowes carries 3 types of plants.
1/10 of the plants are fruit bearing
1/2 of the plants are flower-bearing
The rest are vegetable-bearing plants.
Solution:
Let x be the no of vegetable-bearing plants.
The total number of plants = Number of plants that are fruit-bearing + Number of plants that are flower-bearing + Number of plants that are vegetable-bearing.
3 = 1/10+1/2+x
Taking L.C.M.,
3 = 1+5+10x/10
3 = 6+10x/10
30 = 6+10x
30-6 = 10x
24 = 10x
x = 12/5
Therefore, 12/5 of plants are vegetable-bearing.
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Question content area top Part 1 In a certain chemical, the ratio of zinc to copper is 3 to 11 . A jar of the chemical contains 363 of copper. How many grams of zinc does it contain?
Answers
We need to know about ratio to solve this problem. The number of grams of zinc is 1331 grams.
Ratio in simple terms mean how many times one number contains another. In this question we know that the ratio of copper and zinc is 3 to 11 which means that in the chemical there are 3 parts of copper and 11 parts of zinc. The ratio between two things can be obtained by dividing one by the other and reducing it to the simplest fraction. We know that 363 grams of copper is present, we need to find the amount of zinc. Let us consider the amount of zinc to be x
363/x=3/11
x=363x11/3=121x11=1331
Therefore the amount of zinc present is 1331 grams.
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The sum of two numbers is 140. The difference between the numbers is 32. Which system of equations can be used to find the larger number, x, and the smaller number, y.
Group of answer choices
x + y = 140
y – x = 32
y – x = 140
x + y = 32
x + y = 140
x – y = 32
x – y = 140
x + y = 32
Answers
Answer:
third option
Step-by-step explanation:
the sum of x and y is 140 , that is
x + y = 140
the difference between x and y is 32 ( y is smaller ) , then
x - y = 32
the system to solve for x and y is
x + y = 140
x - y = 32
Answer:
3rd one trust me
12 ejrid the rude
!!!!!!!
Using the figure below, Maggie used the definition of vertical angles to help her solve for x. Since vertical angles are congruent, she set the two given expressions equal to each other. After solving for x, her teacher said she got the wrong value for x. Explain where Maggie made her mistake when solving for x.
Answers
Answer:
Step-by-step explanation:
When subtracting 7x from both sides in the first step, she said [tex]4x-7x=3x[/tex], even though [tex]4x-7x[/tex] is actually equal to [tex]-3x[/tex].
find the slope of the line
Answers
Answer:
0.5
Step-by-step explanation:
want an explanation?
Step by step
Looking at the graph, there are no x-y values.
You can find the slope of the line by counting the x and y values by units from point to point . See the attachment for help.
x-3/4+2/3=17/12 true?
1) 8
2) 6
3) 0
4) 4
Answers
The solution for the linear equation is x = 6, thus the correct option is the second one.
Which value of x makes the equation true?
Here we have the linear equation:
(x - 3)/4 + 2/3 = 17/12
To solve this we need to isolate the variable, x, in one of the sides of the equation.
(x - 3)/4 + 2/3 = 17/12
(x - 3)/4 = -2/3 + 17/12 = -8/12 + 17/12 = 9/12 = 3/4
(x - 3)/4 = 3/4
x - 3= 4*(3/4) = 3
x = 3 + 3
x = 6
The solution is x = 6, thus the correct option is the second one.
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In triangle NAP, measure of N= 45 and the measure of A= 70. Which statement best describes triangle NAP?
1. Segment NA is the longest side
2. Segment NP is the longest side
3. Segment AP is the longest side
4. Segment AP and segment NP are the longest sides and are congruent
Answers
Answer:
2. NP is the longest side
Step-by-step explanation:
I assume the messages of N and A are degrees if the angles there.
angle A = 70°
angle N = 45°
that means
angle P = 180 - 70 - 45 = 65°
because the sum of all angles in a triangle is always 180°.
and that means A is the largest angle, and its opposite side is therefore the longest in the triangle.
the side opposite of A is NP.
Help solve please im struggling
Answers
Answer:
The domain should be "All Real Numbers" and the Range should be "y is greater than or equal to 0"
solve for N
6n−6=−9n+54
n=
Answers
Answer:
[tex]n=4[/tex]
Step-by-step explanation:
[tex]6n-6=-9n+54[/tex]
Shifting the like terms:
[tex]6n+9n=54+6[/tex]
Simplify the equation:
[tex]15n=60[/tex]
Solve for n:
[tex]n=\frac{60}{15}[/tex]
The final answer is:
[tex]n=4[/tex]
A=1
B=25
C = 100
D = 55
E = +
F = -
G =()
AECGDECGEC
Answers
Answer:
15601 OR 1+100(55+100)+100
Step-by-step explanation:
A=1
B=25
C = 100
D = 55
E = +
F = -
G =()
AECGDECGEC
1+100(55+100)+100
1+100(155)+100
1+15500+100
15601
What is the value of p when p = 6r² and r=3
Answers
p = 6r^2 and r = 3
We need to substitute the value of r in the p = 6r^2 one.
On substituting we get,
=> p = 6(3)^2
=> p = 6(9)
=> p = 54
Answer:
p = 54Step-by-step explanation:
What is the value of p when p = 6r² and r=3
p = 6r²
p = 6 * 3²
P = 6 * 9
p = 54
---------------
Solve the following inequality for r. Write your answer in
simplest form.
5r - 5(-7r +9) ≥ −10r +9 – 6r
Answers
Step-by-step explanation:
10r 7r-1 r-9 7r-7=10 5r²2
Adam buyed 8 new video games each costing $19.97. How can you represent the total amount that will be withdrawn from his bank account?
Answers
Answer:
8*19.97=159.76
Step-by-step explanation:
Answer:
8*19.97=159.76
Step-by-step explanation:
The side that is adjacent to angel f has a length of 3 4 5
Answers
[tex]5^{2}[/tex]= 25, forming the right triangle of 3 4 5.
what is adjacent angle?When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to an end. When adjacent angles have a same vertex and side, they can be a complimentary angle or supplemental angle.
what is adjacent rule angle?If two angles share a side and a vertex, they are said to be neighboring in geometry. In other words, neighboring angles do not overlap and are placed next to one another immediately.
Remember that a2 + b2 = c2.
[tex]5^{2}[/tex] = 25, so the 3 4 5 right triangle .
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the circumference of a circle is 60cm what is the area
step by step explanation please
Answers
The area of a circle with a circumference of 60cm is 286. 38cm²
How to determine the area of the circleThe formula for calculating the circumference of a circle is expressed as;
Circumference = 2 πr
Where;
π has the value pie in decimal form is = 3. 14 and in fraction form is 22/7r is the radius of a circleNow, let's put and substitute the value of circumference of the circle as 60cm in the formula
We have;
60 = 2 πr
Interchange the value for π as 3.14, we have;
60 = 2× 3.14r
Multiply the values
60 = 6.28r
Make 'r' the subject of formula by dividing both sides by the coefficient of the variable 'r'
r = 60/6.28
Find the quotient
r = 9.55cm
But we have that the formula for area of a circle is expressed as;
Area = πr²
Substitute or put the value of radius into the formula
Area = 3. 14(9.55)²
Determine the square of the value
Area = 3.14(91. 20)
Find the product
Area = 286. 38cm²
Thus, the area is 286. 38cm²
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(URGENT!) The function g is defined by the following rule. Complete the function table. g(x)=4x-2 (The table is in the image)
Answers
Put each value in the place of x for the function g(x)=4x-2.
g(-5) = 4(-5)-2 = -20-2 = -22
g(-2) = 4(-2)-2 = -8-2 = -10
g(1) = 4(1)-2 = 4-2 = 2
g(3) = 4(3)-2 = 12-2 = 10
g(5) = 4(5)-2 = 20-2 = 18
Khan academy question. Can you help?
Answers
The point slope equation of the line that passes through (1, 0) and (6, -3) is y - (-3) = - 3 / 5 (x - 6)
How to represent point slope equation?The point slope equation can be represented as follows:
y - y₁ = m(x - x₁)
where
m = slopex₁ and y₁ are the coordinatesThe line passes through (1, 0) and (6, -3).
Therefore, the point slope equation can be represented as follows:
m = y₂ - y₁ / x₂ - x₁
Hence,
m = -3 - 0 / 6 - 1
m = -3 / 5
m = - 3 / 5
Using (6, -3) the point slope equation is y - (-3) = - 3 / 5 (x - 6)
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what is the y-intercept of 3x+5y=−30 ? responses
A. (0,−6)
B. (−6,0)
C. (0,10)
D. (10,−6)
Answers
Identify the element in Group 17, Period 6
Answers
Answer:
ima say Chlorine
Step-by-step explanation:
Q's Which element is located in Group 17 and Period 6?
Chlorine is in group 17 of periodic table, also called the halogens, and is not found as the element in nature.
Answer:
Group 17 Elements: On the periodic table, the halogens are to the left of the noble gases. Fluorine (F), chlorine (Cl), bromine (Br), iodine (I), and astatine (A) are the five poisonous non-metallic elements that make up Group 17 of the periodic table (At). Despite the fact that astatine is radioactive and has only short-lived isotopes, it behaves similarly to iodine and is frequently classified as a halogen. Because halogen elements have seven valence electrons, forming a complete octet requires only one extra electron. Because of this, they are more reactive than other non-metal groups.
In the periodic table, the Group 17 elements exist as the second column from the right side. The group 17 elements consist of Fluorine, Chlorine, Bromine, Iodine, Astatine, and Tennessine. The group 17 elements are called halogens. We will study the importance of group 17 elements, their properties, and their uses in this article. Some of the classic uses of halogens are as follows: Iodine is used as an antiseptic, chlorine is a disinfectant, fluorine is used in toothpaste in the form of sodium fluoride as it prevents tooth decays.
Step-by-step explanation:
Which of the following does the Pythagorean Theorem reveal
Answers
According to the Pythagorean theorem, "in a right-angled triangle, the squares of the hypotenuse side is equivalent to the sum of squares of the other two sides," the hypotenuse side is the longest side of the triangle.
This is further explained below.
What is Pythagorean Theorem?Generally, The Pythagorean theorem is a well-known geometric theorem that states the number of squares just on the legs of a right triangle is equal to the square just on the hypotenuse (the side that is opposite the right angle).
This theorem can also be expressed in the familiar algebraic notation of a2 + b2 = c2, where a and b are the lengths of the legs of the triangle.
The Pythagorean theorem, sometimes known as Pythagoras' theorem, is an essential connection in Euclidean geometry that describes the relationships between the three sides of a right triangle.
It indicates that the total of the areas of the squares on the other two sides is equal to the area of the square whose side is the hypotenuse.
In conclusion, This means that the area of the square whose side is the hypotenuse is equal to that amount.
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CQ Not found: Answered Generally
Question
What numbers are a distance of 23 unit from 12 on a number line
Answers
1.) 12-23=11
2.) 12+23=35
how do i answer this?????
Answers
answer:
8.037m
step-by-step explanation:
the total of two or more addends is the sum of the numbers added.
your two addends are 5.89 and 2.147, so add them together.
5.89+2.147
=5.89+2.147
=8.037
the answer is 8.037m
Given g(x) = 2x- 4, find g(2).
Answers
Answer:
0
Step-by-step explanation:
So repalce the x with 2 so now its 2(2)-4 you multiple the 2 times 2 which is 4 now 4-4is 0
Express your answer as a polynomial in standard form. f(x) = x - 1
g(x) = 3x² - 4x-12
Find: g(f(x))
Answers
Answer:
[tex]3x^2 - 10x -5[/tex]
Step-by-step explanation:
[tex]g(f(x))=g(x-1) \\ \\ =3(x-1)^2-4(x-1)-12 \\ \\ =3(x^2-2x+1)-4(x-1)-12 \\ \\ =3x^2-6x+3-4x+4-12 \\ \\ =3x^2 - 10x -5[/tex]
Answer:
[tex]g(f(x))=3x^2-10x-5[/tex]
Step-by-step explanation:
Given functions:
[tex]\begin{cases}f(x)=x-1\\g(x)=3x^2-4x-12\end{cases}[/tex]
Function composition is an operation that takes two functions and produces a third function.
Therefore, the given composite function g(f(x)) means to substitute function f(x) in place of the x in function g(x):
[tex]\begin{aligned}\implies g(f(x))&=g(x-1)\\& = 3(x-1)^2-4(x-1)-12\\&=3(x-1)(x-1)-4x+4-12\\&=3(x^2-2x+1)-4x-8\\&=3x^2-6x+3-4x-8\\&=3x^2-6x-4x+3-8\\&=3x^2-10x-5\end{aligned}[/tex]
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PLSSS HELP IF YOU TURLY KNOW THISS
Answers
Answer:
7x + 12
Step-by-step explanation:
(10x - 3x) + 12
7x + 12
. Describe and correct the error in finding the sum.
X
8 65+ (−16)
(-1)
15
30
6
+
8
15
=
13
6
+
||
11
49
30
19
= 1-
30
It’s the super long problem, sorry I couldn’t crop the other stuff out
Answers
Answer: see below
Step-by-step explanation:
I can’t see the whole problem, however 2 and 5/6 does not equal 13/6, it equals 17/6, if that helps.
The diagonals of parallelogram LMNO intersect at point P. If MP = 2x + 5 and OP = 3x − 7, what is MP?
Answers
The value of MP in the parallelogram is 29 units.
How to find the diagonal of a parallelogram?A parallelogram is a quadrilateral with opposite sides equal to each other and opposite side parallel to each other.
Therefore,
The diagonals of parallelogram LMNO intersect at point P.
The diagonals of parallelogram LMNO are LN and MO.
The point P of the parallelogram divides each diagonal into exactly two equal parts.
Hence,
MP = OP
MP = 2x + 5
OP = 3x - 7
2x + 5 = 3x - 7
2x - 3x = -7 - 5
- x = - 12
x = 12
Therefore,
MP = 2(12) + 5
MP = 24 + 5
MP = 29
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Express the ratio below in its simplest form. 2:4
Answers
Answer:
1:2
Step-by-step explanation:
we divide both numbers by 2
I believe that the ratio written in its simplest form would be 1:2 in ratio form.
Hope this helps!
Martin Binford is an author. He has no income he would report on line 1a or line 1b of his schedule SE. He earned $143,380 in 2010 from his books. He had $3,563 in expense. How much self-employment tax does he owe?
Answers
Answer:
He owes $33556.08 worth of self employment tax.
Explanation:
consider firstly calculating the profit that he has made after this period which can be calculated as profit= income minus expenses and in this case we are given income earned from self employment of $143380 and the expenses incurred in generating this income is $3563 so we find he difference in these two amounts which is $143380-$3563 = $139817 therefore this profit is the taxable income that he needs to deduct tax from.
in order to calculate tax from this amount we go to the tax table so therefore a person earning between $84201 to $160725 is charged 24% tax as per tax table. so now we will say $139817 x 24% = $33556.08 is the tax he owes the IRS.